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| Section 1.1: Graphing Utilities; Introduction to Graphing Equations |
| Section 1.2: The Distance and Midpoint Formulas |
| Section 1.3: Intercepts; Symmetry; Graphing Key Equations |
| Section 1.4: Solving Equations Using a Graphing Utility |
| Section 1.5: Lines |
| Section 1.6: Circles |
| Section 2.1: Functions |
| Section 2.2: The Graph of a Function |
| Section 2.3: Properties of Functions |
| Section 2.4: Library of Functions; Piecewise-defined Functions |
| Section 2.5: Graphing Techniques: Transformations |
| Section 2.6: Mathematical Models: Building Functions |
| Section 3.1: Properties of Linear Functions and Linear Models |
| Section 3.2: Building Linear Models from Data |
| Section 3.3: Quadratic Functions and Their Properties |
| Section 3.4: Building Quadratic Models from Verbal Descriptions and from Data |
| Section 3.5: Inequalities Involving Quadratic Functions |
| Section 4.1: Polynomial Functions |
| Section 4.2: The Graph of a Polynomial Function; Models |
| Section 4.3: The Real Zeros of a Polynomial Function |
| Section 4.4: Complex Zeros; Fundamental Theorem of Algebra |
| Section 4.5: Properties of Rational Functions |
| Section 4.6: The Graph of a Rational Function |
| Section 4.7: Polynomial and Rational Inequalities |
| Section 5.1: Composite Functions |
| Section 5.2: One-to-One Functions; Inverse Functions |
| Section 5.3: Exponential Functions |
| Section 5.4: Logarithmic Functions |
| Section 5.5: Properties of Logarithms |
| Section 5.6: Logarithmic and Exponential Equations |
| Section 5.7: Financial Models |
| Section 5.8: Exponential Growth and Decay Models; Newton’s Law; Logistic Growth and Decay Models |
| Section 5.9: Building Exponential, Logarithmic, and Logistic Models from Data |
| Section 6.1: Angles, Arc Length, and Circular Motion |
| Section 6.2: Trigonometric Functions: Unit Circle Approach |
| Section 6.3: Properties of the Trigonometric Functions |
| Section 6.4: Graphs of the Sine and Cosine Functions |
| Section 6.5: Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions |
| Section 6.6: Phase Shift; Sinusoidal Curve Fitting |
| Section 7.1: The Inverse Sine, Cosine, and Tangent Functions |
| Section 7.2: The Inverse Trigonometric Functions (Continued) |
| Section 7.3: Trigonometric Equations |
| Section 7.4: Trigonometric Identities |
| Section 7.5: Sum and Difference Formulas |
| Section 7.6: Double-angle and Half-angle Formulas |
| Section 7.7: Product-to-Sum and Sum-to-Product Formulas |
| Section 8.1: Right Triangle Trigonometry; Applications |
| Section 8.2: The Law of Sines |
| Section 8.3: The Law of Cosines |
| Section 8.4: Area of a Triangle |
| Section 8.5: Simple Harmonic Motion; Damped Motion; Combining Waves |
| Section 9.1: Polar Coordinates |
| Section 9.2: Polar Equations and Graphs |
| Section 9.3: The Complex Plane; De Moivre’s Theorem |
| Section 9.4: Vectors |
| Section 9.5: The Dot Product |
| Section 9.6: Vectors in Space |
| Section 9.7: The Cross Product |
| Section 10.1: Conics |
| Section 10.2: The Parabola |
| Section 10.3: The Ellipse |
| Section 10.4: The Hyperbola |
| Section 10.5: Rotation of Axes; General Form of a Conic |
| Section 10.6: Polar Equations of Conics |
| Section 10.7: Plane Curves and Parametric Equations |
| Section 11.1: Systems of Linear Equations: Substitution and Elimination |
| Section 11.2: Systems of Linear Equations: Matrices |
| Section 11.3: Systems of Linear Equations: Determinants |
| Section 11.4: Matrix Algebra |
| Section 11.5: Partial Fraction Decomposition |
| Section 11.6: Systems of Nonlinear Equations |
| Section 11.7: Systems of Inequalities |
| Section 11.8: Linear Programming |
| Section 12.1: Sequences |
| Section 12.2: Arithmetic Sequences |
| Section 12.3: Geometric Sequences; Geometric Series |
| Section 12.4: Mathematical Induction |
| Section 12.5: The Binomial Theorem |
| Section 13.1: Counting |
| Section 13.2: Permutations and Combinations |
| Section 13.3: Probability |
| Section 14.1: Investigating Limits Using Tables and Graphs |
| Section 14.2: Algebraic Techniques for Finding Limits |
| Section 14.3: One-sided Limits; Continuity |
| Section 14.4: The Tangent Problem; The Derivative |
| Section 14.5: The Area Problem; The Integral |